Stability and Hopf bifurcation of a predator-prey model

Stability and Hopf bifurcation of a predator-prey model

Abstract In this paper, we study a class of predator-prey model with Holling-II functional response. Firstly, by using linearization method, we prove the stability of nonnegative equilibrium points. Secondly, we obtain the existence, direction, and stability of Hopf bifurcation by using Poincare–And...

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Bibliographic Details
Main Authors: Fan Wu, Yujuan Jiao
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Boundary Value Problems
Subjects:
Predator-prey model
Stability
Hopf bifurcation
Poincare–Andronow Hopf bifurcation theorem
Online Access:http://link.springer.com/article/10.1186/s13661-019-1242-9

Internet

http://link.springer.com/article/10.1186/s13661-019-1242-9

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